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This book aims to develop a philosophical theory of extrinsic properties - of properties whose instantiation by an object does not only depend on what the object itself is like, but also on features of its environment. Various accounts of the intrinsic/extrinsic distinction are analysed in detail, and it is argued that the most promising approach to defining this distinction is to consider extrinsic properties as a particular type of relational property. Moreover, it is shown that two key notions in the metaphysics of properties, the supervenience relation and the dispositional/categorical distinction, whose scope is usually restricted to intrinsic properties, can fruitfully be applied to extrinsic properties as well.